• Title/Summary/Keyword: 선형 안정한계

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피로와 파괴력학(I)

  • 최용식
    • Journal of the KSME
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    • v.16 no.4
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    • pp.41-48
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    • 1976
  • 재료의 피로문제에 대해서는 꽤 오래 전부터 많은 연구가 이루어져왔고, 피로의 현상파악에서부 터 피로이론의 구명, 나아가서는 실제문제로서의 피로설계, 피로수명예측 등에 기여한 업적은 아 주 크다 하겠다. 그러나 종래의 피로문제연구의 방향이, S-N 곡선에서 얻어지는 피로한계강도 (더 정확한 표현으론 피로파괴한계강동)에 바탕을 두고, 정력확적인 설계관례인 안전계수의 도입 을 빌려, 피로강도를 실용화할려는 선에서 이루어져 왔다고 보겠다. 재료의 피로한계강도란, 그 정의로 미루어, 다분히 정적으로는 극한강도 또는 피로강도의 개념에 견주어 질 수 있는 공칭응 력으로써 탄성학적으로 해석될 수도 없고, 다만 탄역성이론의 개념을 바탕으로 근사해석례만이 허용되고 있을 뿐이다. 재료에는 소위 평활재이건 절결재이건 간에 또 검출여부에 관계없이, 내외 부에 대소각종의 결함이나 역학적 불연속부가 잠재해있음은 이미 공지의 사실이며, 이들 결합, 불 연속부등이 외하중하에서 응분의 응력집중원이 되어 재료를 전반적인 파괴로 몰고 갈 수 있다 함 도, 또한 이러한 역학적거동이 피로파괴에 까지 확장해석될 수 있을 것이란 것도 이미 잘 알려져 있는 터이라 하겠다. 재료내외부의 제결합을 응력집중이 극대인 crack로 대체해서 외하중하에서 의 응력장거동을 해석한 선형탄성파괴역학(LEFM)은, 바로 이러한 실제재료의 강도설계에 보다 큰 정확성을 부여한 방법론적 학문이라 하겠고, 나아가서는 재료의 파괴기구를 파헤치는데 진일 보적인 역학적인 수법이라 하겠다. 취성파괴, 연성파괴에 바탕을 둔 파괴역학(LEFM)을 피로파괴 에 적용시키는 데는 상당한 문제점들을 수반할 것임은 충분히 인지되나, 제한된 경계조건하에서 의 적용 예는 종래의 어떤 방법에 의한 것 보다도 피로강도설계, 안전사용 피로수명예측 등에 획기적인 진전을 보여주고 있다. 파괴역학은 crack 재의 강도학이고, 더 구체적으로 음력학대계수 (stress intensity factor) K 또는 이와 연연되는 parameter 인 strain energy release rate(G), crack-tip plactic zone size r$_{p}$,.rho., crack-tip opening displacement .phi., strain intensity 등을 쓰는 재료강도학이기 때문에, 이 수법을 피로파괴에 적용시킴은, 종래의 공칭응력으로 피로 문제를 다루던 방법과는 판이하다 하겠다. 본고에선 파괴역학의 관점에서 피로구열의 안정성장을 논하고, 과거 10여년간의 피로 crack문제에 대한 연구방법, 실험방법 등을 소개하는 방향으로 고 를 진행시켜 나가겠다.

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Implementation of Multiple Nonlinearities Control for Stable Walking of a Humanoid Robot (휴머노이드 로봇의 안정적 보행을 위한 다중 비선형 제어기 구현)

  • Kong, Jung-Shik;Kim, Jin-Geol;Lee, Bo-Hee
    • Journal of the Korean Institute of Intelligent Systems
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    • v.16 no.2
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    • pp.215-221
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    • 2006
  • This paper is concerned with the control of multiple nonlinearities included in a humanoid robot system. A humanoid robot has some problems such as the structural instability, which leads to consider the control of multiple nonlinearities caused by driver parts as well as gear reducer. Saturation and backlash are typical examples of nonlinearities in the system. The conventional algorithms of backlash control were fuzzy algorithm, disturbance observer and neural network, etc. However, it is not easy to control the system by employing only single algorithm since the system usually includes multiple nonlinearities. In this paper, a switching Pill is considered for a control of saturation and a dual feedback algorithm is proposed for a backlash control. To implement the above algorithms, the system identification is firstly performed for the minimization of the difference between the results of simulation and experiment, and then the switching Pill gains are determined using genetic algorithm with some heuristic approach. The performance of the switching Pill controller for saturation and the dual feedback for backlash control is investigated through the simulation. Finally, it is shown that the implemented control system has good results and can be applied to the real humanoid robot system ISHURO.

원자력分野 에서의 破壞力學 現況 -법적 요구사항을 중심으로 (II)-

  • 송달호;손갑헌
    • Journal of the KSME
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    • v.21 no.1
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    • pp.21-31
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    • 1981
  • 원자력발전소의 원자로냉각재 압력경계의 건전성과 안정성을 확보하기 위하여 법적 요구조건을 설정함에 있어 파괴역학이 어떻게 적용되었는 가를 설명하였다. 이를 요약하면 다음과 같다. 1) 압력경계에 사용되는 재료의 $RT_{NDT}$를 정의하였다. 이는 무연성천이온도와 같은 개 념의 것으로, 앞으로 재료의 파괴인성은 이 $RT_{NDT}$에 대한 상대온도의 함수로 주어진다. 2)비연성파괴를 방지하기 위한 설계조건으로서 선형탄성 파괴역학에 근거한 조건식을 인용하였다. 여기서 조건식이란 능력확대계수의 합계가 어떠한 조건에서도 이러한 조건식을 만족한다는 것을 해석적으로 확인하고 규제당국의 승인을 받아야 한다. 3) 가동중검사에 발견된 결함으로 합격수준을 초과하는 것은 파괴역학적으로 해석하여 구조적 으로 안전하다는 것은 파괴역학적으로 해석하여 구조적으로 안전하다는 것을 입증하여야 한다. 이때 결함은 원자로의 가동과 더불어 성장하므로 수명기간중 피로파괴에 이를 것인지의 여부도 평가하여야 한다. 이때의 대조균열성장률은 Paris의 power law에 따른다. 4) 고속중성자 (E>1. 0MeV)에 의한 조사취화를 감시하기 위하여 감시시험계획을 사전에 수립 하고 이에 따라 감시시험을 수행하여 조사에 수립하고 이에 따라 감시시험을 수행하여 조사에 의한 원자로용기 재료의 파괴인성의 저하를 평가하여 이를 고려한 충분한 안전여유를 갖는 운 전조건 즉, 압력-온도 한계곡선을 산출하여야 한다. 이때의 취화 정도는 DELTA. $RT_{NDT}$ 와 Upper Shelf Energy의 감소로 나타낸다. 또한, 압력-온도 한계곡선은 선형관성 파괴역학에 입각한 조건식을 이용하여 해당 온도에서의 압력을 산출한다. System을 개발 사용하기 위하여 기존 전자계산소를 이용하는 방법이 바람직하며 System의 도입은 자체운영을 결정하기 전에 경제적인 여건 등 여러가지 문제를 검토하여야 한다. 특히 Turn Key Base로 System를 도입할 경우에는 System의 도입목 적과 사용빈도, 앞으로의 확장성 현재 설계및 생산 과정과의 마찰가능성, 유지보수문제 등을 신 중히 검토하여야 한다. 이제 기계공업도 전자계산기를 이해하고 사용하므로 서 발전할 수 있는 단계가 되었다. 예로부터 좋은 공구를 개발하여 적절히 사용하는 것이 기계공업 발전의 첩경이 었다. 전자계산기는 현대 기술이 개발한 가장 강력하고 사용하기 좋은 공구이다.점에서 피로구열의 안정성장을 논하고, 과거 10여년간의 피로 crack문제에 대한 연구방법, 실험방법 등을 소개하는 방향으로 고 를 진행시켜 나가겠다.에 그 효과가 증대됨을 알 수 있었다.적용한 임상실험이 수행되어야 할 것이다. 또한 위치결정에서 획득한 좌표값의 정확성을 알아보기 위해서 팬톰을 이용한 방사선조사 실험이 추후에 실행되어져야 할 것이다. 그리고 제작된 프레임에 Rotating X선 시스템과 내부 장기의 움직임을 계량화하고 PTV에서의 최적 여유폭을 설정함으로써 정위 방사선수술 및 3 차원 업체 방사선치료에 대한 병소 위치측정과 환자의 자세에 대한 setup 오차측정 결정에 도움이 될 수 있을 것이라고 사료된다. 상대적으로 우수한 것으로 나타났으며, 혼합충전재는 암모니아의 경우 코코넛과 펄라이트의 비율이 7:3인 혼합 재료 3번과 소나무수피와 펄라이트의 비율이 7:3인 혼합 재료 6번에서 다른 혼합 재료에 비하여 우수한 것으로 나타났다. 4. 코코넛과 소나무수피의 경우 암모니아 가스에 대한 흡착 능력은 거의 비슷한 것으로 사료되며,

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Rock Slope Stability Investigations Conducted on the Road Cut in Samrangjin-Miryang Area (삼량진-밀양 지역에 위치한 도로 절취사면에 대한 사면안정 연구)

  • Um Jeong-Gi;Kang Taeseung;Hwang Jin Yeon
    • Economic and Environmental Geology
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    • v.38 no.3 s.172
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    • pp.305-317
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    • 2005
  • This study addresses the preliminary results of rock slope stability analyses including hazard assessments for slope failure conducted on the selected sections of rural road cut slope which are about 4 km long. The study area is located in the Mt. Chuntae northeast of Busan and mainly composed of Cretaceous rhyolitic ash-flow tuff', fallout tuff, rhyolitc and andesite. The volcanic rock mass in the area has a number of discontinuities that produce a potentially unstable slope, as the present cut slope is more than 70 degrees in most of the slope sections. Discontinuity geometry data were collected at selected 8 scanline sections and analyzed to estimate important discontinuity geometry parameters to perform rock slope kinematic and block theory analyses. Kinematic analysis for plane sliding has resulted in maximum safe slope angles greater than $65^{\circ}$ for most of the discontinuities. For most of the wedges, maximum safe cut slope angles greater than $45^{\circ}$ were obtained. Maximum safe slope angles greater than 80" were obtained fur most of the discontinuities in the toppling case. The block theory analysis resulted in the identification of potential key blocks (type II) in the SL4, SL5, SL6 and SL8 sections. The chance of sliding taking place through a type ll block under a combined gravitational and external loading is quite high in the investigated area. The results support in-field observations of a potentially unstable slope that could become hazardous under external forces. The results obtained through limit equilibrium slope stability analyses show how a stable slope can become an unstable slope as the water pressure acting on joints increases and how a stable slope under Barton's shear strength criterion can fail as the worst case scenario of using Mohr-Coulomb criterion.

Slope Stability Analysis by Optimization Technique Considering Unsaturated Characteristics of Weathered Granite Soil (화강풍화토 지반의 불포화 특성을 고려한 최적화기법에 의한 사면안정해석 방법)

  • 이승래;이성진;변위용;장범수
    • Journal of the Korean Geotechnical Society
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    • v.17 no.6
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    • pp.123-133
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    • 2001
  • Since most of soil slopes are in an unsaturated state, it is necessary to consider the unsaturated characteristics of soil slopes, in order to obtain more reasonable results. Therefore in this study we supplemented a slope stability analysis program to consider them, based on the concept of limit equilibrium. We also applied an optimization technique to search for a failure surface. Besides, we carried out experiments to obtain the unsaturated soil properties required in the analysis with weathered granite soils. We formulated a nonlinear apparent cohesion relationship with the matrix suction to be able to apply the unsaturated shear strength characteristics to the stability analysis. In addition, we intended to obtain more accurate soil water characteristic curves(SWCC) by measuring the change in volume of the specimen in the SWCC tests. As a result, we could appropriately assess the change of the safety factor according to the rainfall intensity and duration, by considering the variation of suction, permeability, and shear strength caused by the infiltration of rainfall into slopes.

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Analysis of Acoustic Emission Signals during Long-Term Strength Tests of Brittle Materials (취성재료의 장기 강도시험 중 미소파괴음 신호 분석)

  • Cheon, Dae-Sung;Jung, Yong-Bok
    • Tunnel and Underground Space
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    • v.27 no.3
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    • pp.121-131
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    • 2017
  • We studied the time-dependent behaviors of rock and concrete materials by conducting the static and dynamic long-term strength tests. In particular, acoustic emission(AE) signals generated while the tests were analyzed and used for the long-term stability evaluation. In the static subcritical crack growth test, the long-term behavior and AE characteristics of Mode I and Mode II were investigated. In the dynamic long-term strength test, the fatigue limit and characteristics of generation of AE were analyzed through cyclic four points bending test. The graph of the cumulative AE hits versus time showed a shape similar to that of the creep curve with the first, second and third stages. The possibility for evaluating the static and dynamic long-term stability of rock and concrete is presented from the log - log relationship between the slope of the secondary stage of cumulative AE hits curve and the delayed failure time.

Development a Downscaling Method of Remotely-Sensed Soil Moisture Data Using Neural Networks and Ancillary Data (신경망기법과 보조 자료를 사용한 원격측정 토양수분자료의 Downscaling기법 개발)

  • Kim, Gwang-Seob;Lee, Eul-Rae
    • Journal of Korea Water Resources Association
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    • v.37 no.1
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    • pp.21-29
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    • 2004
  • The growth of water resources engineering associated with stable supply, management, development is essential to overcome the coming water deficit of our country. Large scale remote sensing and the analysis of sub-pixel variability of soil moisture fields are necessary in order to understand water cycle and to develop appropriate hydrologic model. The target resolution of coming Global monitoring of soil moisture field is about 10km which is not appropriate for the regional scale hydrologic model. Therefore, we need a downscaling scheme to generate hydrologic variables which are suitable for the regional hydrologic model. The results of the analysis of sub-pixel soil moisture variability show that the relationship between ancillary data and soil moisture fields shows there is very weak linear relationship. A downscaling scheme was developed using physically-based classification scheme and Neural Networks which are able to link the nonlinear relationship between ancillary data and soil moisture fields. The model is demonstrated by downscaling soil moisture fields from 4km to 0.2km resolution using remotely-sensed data from the Washita'92 experiment.

Coupled Finite Element Analysis of Partially Saturated Soil Slope Stability (유한요소 연계해석을 이용한 불포화 토사사면 안전성 평가)

  • Kim, Jae-Hong;Lim, Jae-Seong;Park, Seong-Wan
    • Journal of the Korean Geotechnical Society
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    • v.30 no.4
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    • pp.35-45
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    • 2014
  • Limit equilibrium methods of slope stability analysis have been widely adopted mainly due to their simplicity and applicability. However, the conventional methods may not give reliable and convincing results for various geological conditions such as nonhomogeneous and anisotropic soils. Also, they do not take into account soil slope history nor the initial state of stress, for example excavation or fill placement. In contrast to the limit equilibrium analysis, the analysis of deformation and stress distribution by finite element method can deal with the complex loading sequence and the growth of inelastic zone with time. This paper proposes a technique to determine the critical slip surface as well as to calculate the factor of safety for shallow failure on partially saturated soil slope. Based on the effective stress field in finite element analysis, all stresses are estimated at each Gaussian point of elements. The search strategy for a noncircular critical slip surface along weak points is appropriate for rainfall-induced shallow slope failure. The change of unit weight by seepage force has an effect on the horizontal and vertical displacements on the soil slope. The Drucker-Prager failure criterion was adopted for stress-strain relation to calculate coupling hydraulic and mechanical behavior of the partially saturated soil slope.

Evaluation of Tensions and Prediction of Deformations for the Fabric Reinforeced -Earth Walls (섬유 보강토벽체의 인장력 평가 및 변형 예측)

  • Kim, Hong-Taek;Lee, Eun-Su;Song, Byeong-Ung
    • Geotechnical Engineering
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    • v.12 no.4
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    • pp.157-178
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    • 1996
  • Current design methods for reinforced earth structures take no account of the magnitude of the strains induced in the tensile members as these are invariably manufactured from high modulus materials, such as steel, where straits are unlikely to be significant. With fabrics, however, large strains may frequently be induced and it is important to determine these to enable the stability of the structure to be assessed. In the present paper internal design method of analysis relating to the use of fabric reinforcements in reinforced earth structures for both stress and strain considerations is presented. For the internal stability analysis against rupture and pullout of the fabric reinforcements, a strain compatibility analysis procedure that considers the effects of reinforcement stiffness, relative movement between the soil and reinforcements, and compaction-induced stresses as studied by Ehrlich 8l Mitchell is used. I Bowever, the soil-reinforcement interaction is modeled by relating nonlinear elastic soil behavior to nonlinear response of the reinforcement. The soil constitutive model used is a modified vertsion of the hyperbolic soil model and compaction stress model proposed by Duncan et at., and iterative step-loading approach is used to take nonlinear soil behavior into consideration. The effects of seepage pressures are also dealt with in the proposed method of analy For purposes of assessing the strain behavior oi the fabric reinforcements, nonlinear model of hyperbolic form describing the load-extension relation of fabrics is employed. A procedure for specifying the strength characteristics of paraweb polyester fibre multicord, needle punched non-woven geotHxtile and knitted polyester geogrid is also described which may provide a more convenient procedure for incorporating the fablic properties into the prediction of fabric deformations. An attempt to define improvement in bond-linkage at the interconnecting nodes of the fabric reinforced earth stracture due to the confining stress is further made. The proposed method of analysis has been applied to estimate the maximum tensions, deformations and strains of the fabric reinforcements. The results are then compared with those of finite element analysis and experimental tests, and show in general good agreements indicating the effectiveness of the proposed method of analysis. Analytical parametric studies are also carried out to investigate the effects of relative soil-fabric reinforcement stiffness, locked-in stresses, compaction load and seepage pressures on the magnitude and variation of the fabric deformations.

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Modeling and Controller Design for Attitude Control of a Moving Satellite (이동하는 위성의 자세제어를 위한 모델링 및 제어기 설계)

  • Lee, Woo-Seung;Park, Chong-Kug
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.37 no.1
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    • pp.19-29
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    • 2000
  • Because the previous simulation tool for attitude control of satellite was designed for the modeling of rigid body and PD controller, the attitude error can be made more than the limitation value for keeping for communication link, and then the communication link can be lost at moving of satellite. So, for rapid attitude restoration and design of stable and modernized controller, the modelling of rigid body and flexible body structure for moving GEO and LEO satellites were performed. Also the minimum time controller is designed for the rapid restoration of attitude error at communication broken and to minimize the disconnection period from ground communication system during the satellite stationkeeping. The linear regulator is designed using the space state vector that is better than accuracy and stability of PD controller. Firstly the simulation was performed for comparison of the rigid and stability of PD controller. Firstly the simulation was performed for comparison of the rigid and flexible models using PD controller and the case of the pitch angle changing by ground command, and the case of the periodic north-south stationkeeping are performed for the analysis of response characteristics of each controller when the attitude is changed. As a result, the flexible body model represents more sililar results of real situation than the rigid body model. The minimum time controller can restore 7 times rapidly than PD controller for its lost attitude. The linear regulator has several merits for capability of adaptation against the external disturbance, stability and response time. In future, we can check the estimated results using this satellite model and controller for real operation. Futhermore the development of new controller and training can be supported.

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